is 2 2796523 - 1
has 841838 decimal digits
takes 0.216 GHz-days to do one PRP test
Last-known PrimeNet details:
Exponent is not assigned to anyone
0 primality tests remaining
ResidueStatus
L-L-unknown--unknown-
PRP-unknown--unknown-

 Trial FactoringP-1 FactoringCombined
LimitGHz-daysProbabilityB1B2GHz-daysProbabilityGHz-daysProbability
Actual26710.625367.1642%2880002264238901.41217.5002%12.037469.6269%
Target2630.570765.0794%150002600000.00321.7893%0.573965.7042%
Difference+4+10.0546+2.0848%+273000+226163890+1.4089+5.7109%+11.4635+3.9227%

Known prime factors (2 factors, 132.9 bits, 0.00475266% known):
Remaining cofactor is not a probable-prime

P-1GHz-days
exponentfactordigitsbits*kdate foundmin B1min B2min. TFmin. P-1normal P-1
27965235389906569291238.97196368
24 × 19 × 317
-193172.434e-83.946e-64.331e-6
2796523189688961868496012911142444332993.9383391514424671208012792
23 × 32 × 17 × 181 × 3229 × 37537 × 126300791
2023-01-21375371263007911.064e+90.77461.4393

1 Composite Factors:
P-1 results:
 GHz-DaysworthFactor
probability
dateuseridcompidb1b2estagefactordigitsbits*spentsaved
2023-01-21USAFSSUSAFSACS2880002264238902993.9381.4120.4322.8247.500%


Trial Factoring results:
No TF results for M2796523


ECM factoring results:
Total ECM effort:0.312 GHz-days
Estimated T-Level:0.577
DigitsB1CompleteFacMiss
20110000.11589.102%
25500000.01198.938%


ECM Summary

B1B2factorcurvesGHz-days
50000500000030.312


Lucas-Lehmer results:
No L-L results for M2796523


PRP results:
dateuseridcompidcofactorsres64PRP
2017-10-21Oliver KruseGTX-2
538990656929
82AF6F804AD46D__no
2017-12-06kkmrkkblmbrbkc4.xlarge
538990656929
82AF6F804AD46D__no
2023-01-22LordJuliusWhiteBox
538990656929
18968896186849601291114244433
82AF6F804AD46D84no


P-1 factor-bounds graph:
B1 = 288000, B2 = 226423890 (P-1 stage 2)
B1 = 288000 (P-1 stage 1)
100
101
102
103
104
105
106
100
101
102
103
104
105
106
107
108
109
TF factor-bounds graph:
this exponent TF target: 63
TF double-checked to: 67.7
ECM T-Level=0.58 ~= -15-bit
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2100
Last modified: 2023-03-25T13:08:14+00:00